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Embeddings of Grassmann graphs (1109.5624v1)
Published 26 Sep 2011 in math.CO and math.RA
Abstract: Let $V$ and $V'$ be vector spaces of dimension $n$ and $n'$, respectively. Let $k\in{2,...,n-2}$ and $k'\in{2,...,n'-2}$. We describe all isometric and $l$-rigid isometric embeddings of the Grassmann graph $\Gamma_{k}(V)$ in the Grassmann graph $\Gamma_{k'}(V')$.
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